What is the answer to 11/3 = 5/(3-x) ?

The answer to 11/3 = 5/(3-x) is x= 18/11

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11/3 = 5/(3-x)

\frac{11}{3} = \frac{5}{3 - x}

x = \frac{18}{11}

Decimal Notation

x = 1.63636 \dots

Solution steps

\frac{11}{3} = \frac{5}{3 - x}

Cross multiply

11 (3 - x) = 15

Divide both sides by

11

3 - x = \frac{15}{11}

Move

3

to the right side

- x = - \frac{18}{11}

Divide both sides by

- 1

x = \frac{18}{11}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{18}{11}

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